102132202231201 has 4 divisors (see below), whose sum is σ = 102454385834772. Its totient is φ = 101810018627632.

The previous prime is 102132202231187. The next prime is 102132202231243.

102132202231201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26430909210000 + 75701293021201 = 5141100^2 + 8700649^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132202231201 - 2¹¹ = 102132202229153 is a prime.

It is a super-3 number, since 3×102132202231201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132202234201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161091801310 + ... + 161091801943.

It is an arithmetic number, because the mean of its divisors is an integer number (25613596458693).

Almost surely, 2^{102132202231201} is an apocalyptic number.

It is an amenable number.

102132202231201 is a deficient number, since it is larger than the sum of its proper divisors (322183603571).

102132202231201 is an equidigital number, since it uses as much as digits as its factorization.

102132202231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322183603570.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 10213220 and 2231201, that added together give a palindrome (12444421).

The spelling of 102132202231201 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, two hundred one".